6 multiple choice 10 points taevion is studying the weights, measured in pounds, of pumpkins grown at two…

6 multiple choice 10 points taevion is studying the weights, measured in pounds, of pumpkins grown at two different farms. the boxplots show the distribution of pumpkin weight for two samples of equal size, one from farm a and the other from farm b. farm a farm b 6 8 10 12 14 16 18 20 22 pumpkin weight (pounds) based on the boxplots, which of the following is a correct conclusion about the distribution of pumpkin weight for the samples from the two farms? there are more pumpkin weights that are less than pounds from farm b than there are from farm a. the range of the pumpkin weights for farm b is greater than the range for farm a. there are more pumpkin weights that are greater than pounds from farm a than there are from farm b. there are more pumpkin weights that are greater than pounds from farm b than there are from farm a. the interquartile ranges of the pumpkin weights are the same for farm a and farm b.

6 multiple choice 10 points taevion is studying the weights, measured in pounds, of pumpkins grown at two different farms. the boxplots show the distribution of pumpkin weight for two samples of equal size, one from farm a and the other from farm b. farm a farm b 6 8 10 12 14 16 18 20 22 pumpkin weight (pounds) based on the boxplots, which of the following is a correct conclusion about the distribution of pumpkin weight for the samples from the two farms? there are more pumpkin weights that are less than pounds from farm b than there are from farm a. the range of the pumpkin weights for farm b is greater than the range for farm a. there are more pumpkin weights that are greater than pounds from farm a than there are from farm b. there are more pumpkin weights that are greater than pounds from farm b than there are from farm a. the interquartile ranges of the pumpkin weights are the same for farm a and farm b.

Answer

Explanation:

Step1: Recall box - plot concepts

A box - plot shows the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum values of a data set. The range is calculated as $Max - Min$, and the inter - quartile range (IQR) is calculated as $Q_3 - Q_1$.

Step2: Analyze the range for Farm A and Farm B

For Farm A, the minimum is around 6 and the maximum is around 20, so the range of Farm A is approximately $20 - 6=14$. For Farm B, the minimum is around 8 and the maximum is around 22, so the range of Farm B is approximately $22 - 8 = 14$.

Step3: Analyze the inter - quartile range for Farm A and Farm B

For Farm A, $Q_1\approx10$, $Q_3\approx14$, so $IQR_A=14 - 10 = 4$. For Farm B, $Q_1\approx10$, $Q_3\approx14$, so $IQR_B=14 - 10=4$.

Step4: Analyze the number of data points above or below a certain value

We cannot determine the exact number of data points above or below a certain value just from the box - plot without knowing the actual data set.

Answer:

The interquartile ranges of the pumpkin weights are the same for farm A and farm B.